Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65100c |
Isogeny class |
Conductor |
65100 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
961180668000000 = 28 · 36 · 56 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52708,4429912] |
[a1,a2,a3,a4,a6] |
Generators |
[-1782:18011:8] |
Generators of the group modulo torsion |
j |
4048569250000/240295167 |
j-invariant |
L |
5.4449647583457 |
L(r)(E,1)/r! |
Ω |
0.48753526372022 |
Real period |
R |
5.5841753034001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999889 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2604f2 |
Quadratic twists by: 5 |